We note that other works have derived different properties of the synchronisation manifold of coupled maps and analysed networks with heterogeneity in the node degrees. For example, it has been derived that piece-wise linear, chaotic maps, coupled in a ring lattice, increase their entropy for strong coupling [1]} (having an overall well-like shape for the coupling strength range). If random connections are added to the lattice (i.e., a Watts-Strogatz model [2]}, [3]}, [4]}, [5]}), then, the chaoticity of the system decreases with increasing number of random connections [6]}, which corresponds to the emergence of synchronisation. Instead, if long-range interactions are added, then, the necessary critical coupling-strength for a stable synchronous manifold is known [7]} (even for non-linear maps), as well as its transient times [8]}. Similar stability analyses have also been carried out by previous works, describing critical conditions that allow synchronization in coupled map networks [9]}, [10]}.
